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1415672140 = 2251961157389
BaseRepresentation
bin101010001100001…
…0111000101001100
310122122211121002111
41110120113011030
510344403002030
6352250433404
750040005011
oct12430270514
93578747074
101415672140
11667123483
12336132864
131973a802c
14d6031708
158443d62a
hex5461714c

1415672140 has 96 divisors (see below), whose sum is σ = 3209169600. Its totient is φ = 522961920.

The previous prime is 1415672129. The next prime is 1415672143. The reversal of 1415672140 is 412765141.

It is not an unprimeable number, because it can be changed into a prime (1415672143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3639066 + ... + 3639454.

It is an arithmetic number, because the mean of its divisors is an integer number (33428850).

Almost surely, 21415672140 is an apocalyptic number.

1415672140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1415672140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604584800).

1415672140 is an abundant number, since it is smaller than the sum of its proper divisors (1793497460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1415672140 is a wasteful number, since it uses less digits than its factorization.

1415672140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 1415672140 is about 37625.4188016559. The cubic root of 1415672140 is about 1122.8478069963.

The spelling of 1415672140 in words is "one billion, four hundred fifteen million, six hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 122 157 190 244 305 314 380 389 610 628 778 785 1159 1220 1556 1570 1945 2318 2983 3140 3890 4636 5795 5966 7391 7780 9577 11590 11932 14782 14915 19154 23180 23729 29564 29830 36955 38308 47458 47885 59660 61073 73910 94916 95770 118645 122146 147820 181963 191540 237290 244292 305365 363926 450851 474580 610730 727852 901702 909815 1160387 1221460 1803404 1819630 2254255 2320774 3639260 3725453 4508510 4641548 5801935 7450906 9017020 11603870 14901812 18627265 23207740 37254530 70783607 74509060 141567214 283134428 353918035 707836070 1415672140